Let $P$ be a square matrix such that $P^2=I-P$. For $\alpha, \beta, \gamma, \delta \in N$, if $P^\alpha+P^\beta=\gamma I-29 P$ and $P^\alpha-P^\beta=$ $\delta I-13 P$, then $\alpha+\beta+\gamma-\delta$ is equal to [JEE Main 2023, 6 Apr (Shift 2)]

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Let \(P\) be a square matrix such that \(P^2=I-P\). For \(\alpha, \beta, \gamma, \delta \in N\), if \(P^\alpha+P^\beta=\…

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